Collocation Methods with Legendre Polynomials - Articles

A Comprehensive Review on the Classification of Multi-Objective Optimization Techniques (Articles)

Mohamd Hassan Gadallah, Abdelrahman Ali M. Ahmed

Open Journal of Optimization Vol.14 No.4, December 1, 2025

DOI: 10.4236/ojop.2025.144010 190 Downloads 1,274 Views Citations
An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes (Articles)

Ali Pirkhedri, Parisa Daneshjoo, Hamid Haj Seyyed Javadi, Hamid Navidi, Salem Khodamoradi, Kamal Ghaderi

International Journal of Astronomy and Astrophysics Vol.1 No.2, June 30, 2011

DOI: 10.4236/ijaa.2011.12010 5,269 Downloads 11,402 Views Citations
Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method (Articles)

A. Shahsavaran

American Journal of Computational Mathematics Vol.1 No.2, June 30, 2011

DOI: 10.4236/ajcm.2011.12014 5,205 Downloads 12,386 Views Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11, November 5, 2013

DOI: 10.4236/am.2013.411202 4,182 Downloads 7,302 Views Citations
An Efficient Numerical Method and Parametric Study for Electrolyte Transport in the Renal Medulla (Articles)

Maryam Saadatmand, Mohammad J. Abdekhodaie, Mahmoud R. Pishvaie, Fathollah Farhadi

Journal of Biomedical Science and Engineering Vol.7 No.9, July 21, 2014

DOI: 10.4236/jbise.2014.79068 2,941 Downloads 4,258 Views Citations
Tau-Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations (Articles)

James E. Mamadu, Ignatius N. Njoseh

Journal of Applied Mathematics and Physics Vol.4 No.2, February 26, 2016

DOI: 10.4236/jamp.2016.42045 3,569 Downloads 6,949 Views Citations
Simulation of Seawater Intrusion in Coastal Confined Aquifer Using a Point Collocation Method Based Meshfree Model (Articles)

Alice Thomas, T. I. Eldho, A. K. Rastogi

Journal of Water Resource and Protection Vol.8 No.4, April 29, 2016

DOI: 10.4236/jwarp.2016.84045 2,636 Downloads 4,685 Views Citations
This article belongs to the Special Issue on Research on Groundwater
The Lanczos-Chebyshev Pseudospectral Method for Solution of Differential Equations (Articles)

Peter Y. P. Chen

Applied Mathematics Vol.7 No.9, May 27, 2016

DOI: 10.4236/am.2016.79083 2,480 Downloads 4,574 Views Citations
This article belongs to the Special Issue on Complex Analysis
Septic B-Spline Solution of Fifth-Order Boundary Value Problems (Articles)

Bin Lin

Journal of Applied Mathematics and Physics Vol.4 No.8, August 9, 2016

DOI: 10.4236/jamp.2016.48149 1,954 Downloads 3,589 Views Citations
B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems (Articles)

Bin Lin

Journal of Applied Mathematics and Physics Vol.4 No.9, September 7, 2016

DOI: 10.4236/jamp.2016.49178 2,084 Downloads 4,199 Views Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4, December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,171 Downloads 2,542 Views Citations
Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems (Articles)

James Adewale, Adesanya Olaide, Onsachi Oziohu, Sunday Joshua, Moses Omuya

American Journal of Computational Mathematics Vol.8 No.1, March 28, 2018

DOI: 10.4236/ajcm.2018.81008 931 Downloads 2,226 Views Citations
Collocation Method for Solving the Generalized KdV Equation (Articles)

Turabi Geyikli

Journal of Applied Mathematics and Physics Vol.8 No.6, June 11, 2020

DOI: 10.4236/jamp.2020.86085 757 Downloads 2,161 Views Citations
Numerical Solution of the Seventh Order Boundary Value Problems Using B-Spline Method (Articles)

Maryam Khazaei, Yeganeh Karamipour

Journal of Applied Mathematics and Physics Vol.9 No.12, December 17, 2021

DOI: 10.4236/jamp.2021.912198 345 Downloads 1,547 Views Citations
The Effects of an Inclined Magnetic Field, Brownian Motion, and Thermophoresis on the Flow of Electrically Conducting and Chemically Reacting Casson Nanofluids Using Soret-Dufour Mechanisms (Articles)

Toyin Wasiu Akaje, Bakai Ishola Olajuwon

Advances in Nanoparticles Vol.11 No.2, May 31, 2022

DOI: 10.4236/anp.2022.112005 352 Downloads 1,608 Views Citations
Block Extension of a Single-Step Hybrid Multistep Method for Directly Solving Fourth-Order Initial Value Problems (Articles)

Monday Kolawole Duromola, Adelegan Lukuman Momoh, Olusegun Mayowa Akinmoladun

American Journal of Computational Mathematics Vol.12 No.4, December 27, 2022

DOI: 10.4236/ajcm.2022.124026 228 Downloads 1,148 Views Citations
Numerical Solutions of the Black-Scholes Financial Model Using the Adomian Decomposition and Power Series Collocation Methods (Articles)

Johnson Oladele Fatokun, Olabisi Akinwale, Shehu Abdulaziz

Journal of Applied Mathematics and Physics Vol.13 No.4, April 24, 2025

DOI: 10.4236/jamp.2025.134074 91 Downloads 543 Views Citations
The Proofs of Legendre’s Conjecture and Three Related Conjectures (Articles)

Wing K. Yu

Journal of Applied Mathematics and Physics Vol.11 No.5, May 23, 2023

DOI: 10.4236/jamp.2023.115085 461 Downloads 3,443 Views Citations
On Prime Numbers between kn and (k + 1) n (Articles)

Wing K. Yu

Journal of Applied Mathematics and Physics Vol.11 No.11, November 30, 2023

DOI: 10.4236/jamp.2023.1111234 214 Downloads 1,080 Views Citations
Analysis and Interpretation of EEG Signals for the Design of an Automated Diagnosis of Disorders of Consciousness and Vigilance through Artificial Neural Network (Articles)

Romain Atangana, Ngassa Pelap, Amstrong Emini Me Zenanga, Daniel Gams Massi, Daniel Tchiotsop, Godpromesse Kenne

World Journal of Neuroscience Vol.15 No.4, November 28, 2025

DOI: 10.4236/wjns.2025.154028 73 Downloads 461 Views Citations

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